Factors of 1840 in pair are (1, 1840) , (2, 920) , (4, 460) , (5, 368) , (8, 230) , (10, 184) , (16, 115) , (20, 92) , (23, 80) and (40, 46)

How to find factors of a number in pair

Steps to find factors of 1840 in pair

Example: Find factors of 1840 in pair

Factor Pair Pair Factorization
1 and 1840 1 x 1840 = 1840
2 and 920 2 x 920 = 1840
4 and 460 4 x 460 = 1840
5 and 368 5 x 368 = 1840
8 and 230 8 x 230 = 1840
10 and 184 10 x 184 = 1840
16 and 115 16 x 115 = 1840
20 and 92 20 x 92 = 1840
23 and 80 23 x 80 = 1840
40 and 46 40 x 46 = 1840

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 1840. They are called negative pair factors.

Hence, the negative pairs of 1840 would be ( -1 , -1840 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1840 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 40 , 46 , 80 , 92 , 115 , 184 , 230 , 368 , 460 , 920 , 1840. So, factors of 1840 in pair are (1,1840), (2,920), (4,460), (5,368), (8,230), (10,184), (16,115), (20,92), (23,80), (40,46).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 1840 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1840.
  • Every number is a factor of zero (0), since 1840 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840 are exact divisors of 1840.
  • Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. Each factor divides 1840 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840 are all less than or equal to 1840.

Steps to find Factors of 1840

  • Step 1. Find all the numbers that would divide 1840 without leaving any remainder. Starting with the number 1 upto 920 (half of 1840). The number 1 and the number itself are always factors of the given number.
    1840 ÷ 1 : Remainder = 0
    1840 ÷ 2 : Remainder = 0
    1840 ÷ 4 : Remainder = 0
    1840 ÷ 5 : Remainder = 0
    1840 ÷ 8 : Remainder = 0
    1840 ÷ 10 : Remainder = 0
    1840 ÷ 16 : Remainder = 0
    1840 ÷ 20 : Remainder = 0
    1840 ÷ 23 : Remainder = 0
    1840 ÷ 40 : Remainder = 0
    1840 ÷ 46 : Remainder = 0
    1840 ÷ 80 : Remainder = 0
    1840 ÷ 92 : Remainder = 0
    1840 ÷ 115 : Remainder = 0
    1840 ÷ 184 : Remainder = 0
    1840 ÷ 230 : Remainder = 0
    1840 ÷ 368 : Remainder = 0
    1840 ÷ 460 : Remainder = 0
    1840 ÷ 920 : Remainder = 0
    1840 ÷ 1840 : Remainder = 0

Hence, Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, and 1840

Frequently Asked Questions

  • Is 1840 a composite number?

    Yes 1840 is a composite number.

  • Is 1840 a prime number?

    No 1840 is not a prime number.

  • Write five multiples of 1840.

    Five multiples of 1840 are 3680, 5520, 7360, 9200, 11040.

  • Write all odd factors of 1840?

    The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840.
    Odd factors of 1840 are 1 , 5 , 23 , 115.

  • What is the mean of all prime factors of 1840?

    Factors of 1840 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 40 , 46 , 80 , 92 , 115 , 184 , 230 , 368 , 460 , 920 , 1840. Prime factors of 1840 are 2 , 2 , 2 , 2 , 5 , 23. Therefore mean of prime factors of 1840 is (2 + 2 + 2 + 2 + 5 + 23) / 6 = 6.00.

Examples of Factors

Ariel has been asked to write all factor pairs of 1840 but she is finding it difficult. Can you help her find out?

Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. So, factors of 1840 in pair are (1,1840), (2,920), (4,460), (5,368), (8,230), (10,184), (16,115), (20,92), (23,80), (40,46).

Sammy wants to write all the negative factors of 1840 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1840 are -1, -2, -4, -5, -8, -10, -16, -20, -23, -40, -46, -80, -92, -115, -184, -230, -368, -460, -920, -1840. Hence, factors of 1840 in pair are (-1,-1840), (-2,-920), (-4,-460), (-5,-368), (-8,-230), (-10,-184), (-16,-115), (-20,-92), (-23,-80), (-40,-46).

Help Deep in writing the positive factors of 1840 in pair and negative factor of 1840 in pair.

Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. Positive factors of 1840 in pair are (1,1840), (2,920), (4,460), (5,368), (8,230), (10,184), (16,115), (20,92), (23,80), (40,46). Negative factors of 1840 in pair are (-1,-1840), (-2,-920), (-4,-460), (-5,-368), (-8,-230), (-10,-184), (-16,-115), (-20,-92), (-23,-80), (-40,-46).

Find the product of all factors of 1840.

Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. So the product of all factors of 1840 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 23 x 40 x 46 x 80 x 92 x 115 x 184 x 230 x 368 x 460 x 920 x 1840 = 4.448137771249993e+32.

Find the product of all prime factors of 1840.

Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. Prime factors are 2, 2, 2, 2, 5, 23. So, the product of all prime factors of 1840 would be 2 x 2 x 2 x 2 x 5 x 23 = 1840.

Can you help Sammy list the factors of 1840 and also find the factor pairs?

Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840.
Factors of 1840 in pair are (1,1840), (2,920), (4,460), (5,368), (8,230), (10,184), (16,115), (20,92), (23,80), (40,46).

Sammy has 1840 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 1840 blocks in all possible ways to form a rectangle, we need to calculate factors of 1840 in pair. Therefore, factors of 1840 in pair are (1,1840), (2,920), (4,460), (5,368), (8,230), (10,184), (16,115), (20,92), (23,80), (40,46)